# Arithmetic Series and Sequences

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A-level Edexcel C1 June 2008 Q7
The question is on arithmetic series.
Sue is training for a marathon. Her training includes a run every Saturday starting with a run of 5 km on the first Saturday. Each Saturday she increases the length of her run from the previous Saturday by 2 km.
(a) Show that on the 4th Saturday of training she runs 11 km.
(b) Find an expression, in terms of n, for the length of her training run on the nth Saturday.
(c) Show that the total distance she runs on Saturdays in n weeks of training is n(n + 4) km.
On the n th Saturday Sue runs 43 km.
(d) Find the value of n.
(e) Find the total distance, in km, Sue runs on Saturdays in n weeks of training.

Core 1 - Sequences and Series (2)
Introduction to Arithmetic Sequences

Core 1 - Sequences and Series (3) - Introduction to Arithmetic Series

Core 1 - Sequences and Series (5) - Arithmetic Sequences and Series Further examples

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